(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Two forces act on an object at an angle of 50°. One force is 150 N. The resultant

force is 200 N. Find the second force and the angle that it makes with the

resultant.

2. Relevant equations

U_{x}=|U|cos(theta)

U_{y}=|U|sin(theta)

3. The attempt at a solution

Basically I began by trying to find the components of the 150 N force by using the formulas mentioned above, which left me with U = [150, 0]. I then tried adding the two forces together, i.e. R = [150 + v_{x}, 0 + v_{y}] and then tried to find the magnitude of the resultant, which I knew was equal to 200. I squared both sides leaving me with (150 + v_{x})^2 + (0 + v_{y})^2 = 40000, however I did not know where to go from here. Any help is appreciated, thanks alot.

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# Homework Help: Cartesian vector application involving two forces.

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